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Pricing using Monte Carlo simulation, a practical example, Prof. Giancarlo Vercellino; Personal finance. A Better Way to Size Up Your Nest Egg, Businessweek Online: January 22, 2001; Online Monte Carlo retirement planner with source code, Jim Richmond, 2006; Free spreadsheet-based retirement calculator and Monte Carlo simulator, by Eric C., 2008
Monte Carlo method: Pouring out a box of coins on a table, and then computing the ratio of coins that land heads versus tails is a Monte Carlo method of determining the behavior of repeated coin tosses, but it is not a simulation. Monte Carlo simulation: Drawing a large number of pseudo-random uniform variables from the interval [0,1] at one ...
Monte Carlo:methodologies and applications for pricing and risk management. Risk. Paul Glasserman (2003). Monte Carlo methods in financial engineering. Springer-Verlag. ISBN 978-0-387-00451-8. Peter Jaeckel (2002). Monte Carlo methods in finance. John Wiley and Sons. ISBN 978-0-471-49741-7. Don L. McLeish (2005). Monte Carlo Simulation & Finance.
They model the shortfall or surplus between the individual's retirement income and expected spending needs to identify whether the individual has adequate resources to retire at a particular age. Depending on their sophistication, they may be stochastic (often incorporating Monte Carlo simulation) or deterministic. Standard input variables ...
The variance of randomly generated points within a unit square can be reduced through a stratification process. In mathematics, more specifically in the theory of Monte Carlo methods, variance reduction is a procedure used to increase the precision of the estimates obtained for a given simulation or computational effort. [1]
The goal of a multilevel Monte Carlo method is to approximate the expected value [] of the random variable that is the output of a stochastic simulation.Suppose this random variable cannot be simulated exactly, but there is a sequence of approximations ,, …, with increasing accuracy, but also increasing cost, that converges to as .
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